Unit Conversion Help Thank you Tkg 000 g 1 lb = 454 g 1 m = 100 cm 1 ft = 12 in 1 L = 1,000 mL qt = 946 mL 60 s = 1 min Hage T00 cg 1 lb = 16 oz 1 m = 1,000 mm Tyd = 3 ft 1 L = 100 cL 4 qts = 1 gallon 60 min = 1 hr 1 g = 1,000 mg 1 km = 1,000 m 1 in = 2.54 cm 1 kL = 1,000 L 1 L = 10 dL 1 mol = 1,000 mmol 24 hr = 1 day How many gl qt are in 18.2 gl cL? 18.2 g gl qt Check Answer cL Next Problem
The Correct Answer and Explanation is:
To convert 18.2 grams per centiliter (g/cL) to grams per quart (g/qt), we’ll follow a step-by-step approach using the provided conversion factors.
Step 1: Understand the unit relationship
We are converting from g/cL to g/qt. That means we need to convert centiliters (cL) to quarts (qt).
From the image:
- 1 L = 100 cL
- 1 qt = 946 mL
- 1 L = 1,000 mL
So: 1 qt = 946 mL = 946 ÷ 1,000 L = 0.946 L
Now convert to centiliters: 0.946 L × 100 cL/L = 94.6 cL
Thus, 1 qt = 94.6 cL
Step 2: Perform the conversion
Given: 18.2 g/cL To find: g/qt
Use the fact that 1 qt = 94.6 cL
So: 18.2 g/cL × 94.6 cL/qt = 1,721.72 g/qt
Final Answer:
1,721.72 g/qt
Explanation
Unit conversions are essential tools in science and everyday problem-solving. They allow us to express quantities in units that are most appropriate for a given context. In this problem, the quantity is expressed in grams per centiliter (g/cL), but the desired unit is grams per quart (g/qt). This is a density-like conversion, where mass is being measured per unit volume. The key to solving this problem lies in accurately converting centiliters into quarts.
We start by identifying the equivalence between quarts and centiliters. From the known conversion facts, 1 quart is equivalent to 946 milliliters. Since there are 1,000 milliliters in a liter and 100 centiliters in a liter, we derive that 1 quart is equal to 94.6 centiliters.
Once this relationship is established, the next step is simply a multiplication. Because there are 94.6 centiliters in a quart, and each centiliter contains 18.2 grams, we multiply those numbers. This gives us 1,721.72 grams per quart.
These kinds of conversions are useful in fields such as chemistry, cooking, and manufacturing, where precision in measurements is critical. Always ensure units cancel appropriately so the final result is expressed in the correct units. This methodical approach builds accuracy and confidence in problem solving.
